34242400 has 72 divisors (see below), whose sum is σ = 87275664. Its totient is φ = 13094400.

The previous prime is 34242391. The next prime is 34242401. The reversal of 34242400 is 424243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17470 + ... + 19330.

It is an arithmetic number, because the mean of its divisors is an integer number (1212162).

Almost surely, 2^34242400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43637832).

34242400 is an abundant number, since it is smaller than the sum of its proper divisors (53033264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34242400 is a wasteful number, since it uses less digits than its factorization.

34242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 34242400 is about 5851.7006075157. The cubic root of 34242400 is about 324.7292419493.

Adding to 34242400 its reverse (424243), we get a palindrome (34666643).

The spelling of 34242400 in words is "thirty-four million, two hundred forty-two thousand, four hundred".